4h^2=42h

Solution for 4h^2=42h equation:

Simplifying
4h2 = 42h

Solving
4h2 = 42h

Solving for variable 'h'.

Reorder the terms:
-42h + 4h2 = 42h + -42h

Combine like terms: 42h + -42h = 0
-42h + 4h2 = 0

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-21 + 2h) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

Move all terms containing h to the left, all other terms to the right.

Simplifying
h = 0
Subproblem 2
Set the factor '(-21 + 2h)' equal to zero and attempt to solve:

Simplifying
-21 + 2h = 0

Solving
-21 + 2h = 0

Move all terms containing h to the left, all other terms to the right.

Add '21' to each side of the equation.
-21 + 21 + 2h = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2h = 0 + 21
2h = 0 + 21

Combine like terms: 0 + 21 = 21
2h = 21

Divide each side by '2'.
h = 10.5

Simplifying
h = 10.5
Solution
h = {0, 10.5}